Which of the following are valid names for the given triangle? check all that apply.

A, D and E are correct options.

Step-by-step explanation:

We are given,

The vertices of the triangle are A, X and T.

While writing the names of a triangle, only the vertices are used.

So, we have that the possible names of the given triangle are,

ΔTAX        ΔATX         ΔXAT

ΔTXA        ΔAXT         ΔXTA

Then, according to the options, the valid names for the triangle are,

A. ΔTAX

D. ΔXTA

E. ΔAXT

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions